Subgroups — C₂×#13128780 #16770894

Order 3328.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128780	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719290	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719284	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719414	C₂	1	2	yes	maximal, complemented
5	C₂×#11719270	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719342	C₂	1	2	yes	maximal, complemented
8	C₂×#11719410	C₂	1	2	yes	maximal, complemented
9	C₂×#11719260	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719315	C₂	1	2	yes	maximal, complemented
13	C₂×D₄×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719239	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719240	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719397	C₂	1	2	yes	maximal, complemented
17	C₂×#11719383	C₂	1	2	yes	maximal, complemented
18	C₂×#11719184	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719361	C₂	1	2	yes	maximal, complemented
20	C₂×D₁₃×#123	C₂	1	2	yes	maximal, complemented
21	C₂×#11719228	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719226	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×C₄×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6129	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
27	C₂²×#6127	C₂²	1	1	yes	characteristic
28	C₂³×D₅₂	C₂²	1	1	yes	characteristic
29	C₂³×D₅₂	C₂²	1	1	yes	characteristic
30	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
31	C₁₃×#529	C₂²	1	16	yes	complemented
32	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88201	C₂²	1	2	yes	complemented
48	C₂×#88200	C₂²	1	2	yes	complemented
49	C₂×#88193	C₂²	1	2	yes	complemented
50	C₂×#88191	C₂²	1	2	yes	complemented
51	C₂×#88191	C₂²	1	2	yes	complemented
52	C₂×#88189	C₂²	1	2	yes	—
53	C₂×#88184	C₂²	1	1	yes	characteristic
54	C₂×#88184	C₂²	1	1	yes	characteristic
55	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
56	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
57	C₂×#88183	C₂²	1	2	yes	complemented
58	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
59	C₂²×#6103	C₂²	1	2	yes	complemented
60	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
61	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
65	#11719414	C₂²	1	32	yes	complemented
66	#11719410	C₂²	1	32	yes	complemented
67	#11719397	C₂²	1	32	yes	complemented
68	#11719383	C₂²	1	32	yes	complemented
69	#11719361	C₂²	1	32	yes	complemented
70	D₁₃×#123	C₂²	1	32	yes	complemented
71	#11719342	C₂²	1	32	yes	complemented
72	#11719315	C₂²	1	32	yes	complemented
73	#11719290	C₂²	1	16	yes	complemented
74	#11719284	C₂²	1	16	yes	complemented
75	#11719270	C₂²	1	16	yes	complemented
76	#11719260	C₂²	1	16	yes	complemented
77	#11719255	C₂²	1	16	yes	complemented
78	#11719255	C₂²	1	16	yes	complemented
79	D₄×D₅₂	C₂²	1	16	yes	complemented
80	#11719246	C₂²	1	16	yes	complemented
81	#11719240	C₂²	1	16	yes	complemented
82	#11719239	C₂²	1	16	yes	complemented
83	#11719228	C₂²	1	16	yes	complemented
84	#11719226	C₂²	1	16	yes	complemented
85	C₂×#88152	C₂²	1	2	yes	complemented
86	C₂×#88152	C₂²	1	2	yes	complemented
87	C₂×#88151	C₂²	1	2	yes	complemented
88	C₂×#88150	C₂²	1	2	yes	complemented
89	C₂×#88150	C₂²	1	2	yes	complemented
90	C₂×#88150	C₂²	1	2	yes	complemented
91	C₂×#88149	C₂²	1	2	yes	—
92	C₂×#88148	C₂²	1	2	yes	complemented
93	C₂×#88148	C₂²	1	2	yes	complemented
94	C₂×#88148	C₂²	1	2	yes	complemented
95	C₂×#88148	C₂²	1	2	yes	complemented
96	C₂×#88148	C₂²	1	2	yes	complemented
97	C₂×#88148	C₂²	1	2	yes	complemented
98	C₂×#88147	C₂²	1	2	yes	complemented
99	C₂×#88147	C₂²	1	2	yes	complemented
100	C₂×#88147	C₂²	1	2	yes	complemented
101	C₂×#88146	C₂²	1	2	yes	complemented
102	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
103	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
104	C₂×#88143	C₂²	1	2	yes	complemented
105	C₂×#88140	C₂²	1	2	yes	complemented
106	C₂×#88140	C₂²	1	2	yes	complemented
107	C₂×#88139	C₂²	1	2	yes	complemented
108	C₂×#88138	C₂²	1	2	yes	complemented
109	C₂×#88138	C₂²	1	2	yes	complemented
110	C₂×#88138	C₂²	1	2	yes	complemented
111	C₂×#88138	C₂²	1	2	yes	complemented
112	C₂×#88137	C₂²	1	2	yes	complemented
113	C₂×#88137	C₂²	1	2	yes	complemented
114	C₂×#88136	C₂²	1	2	yes	—
115	C₂×#88136	C₂²	1	2	yes	—
116	C₂×#88135	C₂²	1	2	yes	complemented
117	C₂×#88135	C₂²	1	2	yes	complemented
118	C₂×#88135	C₂²	1	2	yes	complemented
119	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
120	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
121	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
122	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
123	C₂×#88133	C₂²	1	2	yes	complemented
124	C₂×#88131	C₂²	1	2	yes	complemented
125	#11719184	C₂²	1	16	yes	complemented
126	C₂×#88130	C₂²	1	2	yes	complemented
127	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
129	C₂×#88128	C₂²	1	1	yes	characteristic
130	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
131	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
132	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
133	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
134	C₂×C₄×D₅₂	C₂²	1	16	yes	complemented
135	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
138	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
140	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88126	C₂²	1	2	yes	complemented
142	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
163	C₂³×Dic₁₃	C₂³	1	2	yes	—
164	C₂³×Dic₁₃	C₂³	1	2	yes	—
165	C₂×#6129	—	4	8	no	—
166	C₂×#6129	C₂³	1	16	yes	complemented
167	C₂×D₄×D₁₃	—	4	8	no	—
168	C₂×D₄×D₁₃	C₂³	1	16	yes	—
169	C₂×#6127	—	2	8	no	—
170	C₂×#6127	C₂³	1	8	yes	—
171	C₂²×D₅₂	—	2	8	no	—
172	C₂²×D₅₂	—	2	8	no	—
173	C₂²×D₅₂	C₂³	1	1	yes	characteristic
174	C₂²×D₅₂	C₂³	1	1	yes	characteristic
175	C₂²×D₅₂	C₂³	1	2	yes	—
176	C₂²×D₅₂	C₂³	1	8	yes	—
177	C₂²×D₅₂	C₂³	1	2	yes	—
178	C₂²×D₅₂	C₂³	1	8	yes	—
179	C₂²×D₅₂	C₂³	1	2	yes	—
180	C₂²×D₅₂	C₂³	1	2	yes	—
181	C₂²×D₅₂	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₁₃	—	4	8	no	—
183	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
184	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
185	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
186	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
187	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
188	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₁₃	C₂³	1	16	yes	complemented
193	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
194	C₂²×Dic₂₆	C₂³	1	2	yes	—
195	C₁₃×#126	C₂³	1	8	yes	complemented
196	C₁₃×#126	C₂³	1	8	yes	complemented
197	C₁₃×#125	C₂³	1	8	yes	complemented
198	C₁₃×#124	C₂³	1	8	yes	complemented
199	C₁₃×#123	C₂³	1	8	yes	—
200	C₁₃×#123	C₂³	1	8	yes	complemented
201	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
202	C₁₃×#121	C₂³	1	8	yes	—
203	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
204	C₄×D₄×C₁₃	C₂³	1	8	yes	—
205	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
206	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
207	C₁₃×#117	C₂³	1	8	yes	complemented
208	C₁₃×#117	C₂³	1	8	yes	complemented
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
236	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
237	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
239	#88201	C₂³	1	16	yes	complemented
240	#88200	C₂³	1	16	yes	complemented
241	#88193	C₂³	1	16	yes	complemented
242	#88191	C₂³	1	16	yes	complemented
243	#88191	C₂³	1	16	yes	complemented
244	#88189	C₂³	1	16	yes	—
245	#88184	C₂³	1	8	yes	—
246	#88184	C₂³	1	8	yes	—
247	#88184	C₂³	1	8	yes	complemented
248	#88184	C₂³	1	8	yes	complemented
249	#88183	C₂³	1	16	yes	complemented
250	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
251	C₂×#6103	C₂³	1	2	yes	—
252	C₂×#6103	C₂³	1	2	yes	—
253	C₂×#6103	C₂³	1	2	yes	—
254	C₂×#6103	C₂³	1	2	yes	—
255	C₂×#6103	C₂³	1	2	yes	—
256	C₂×#6103	C₂³	1	2	yes	—
257	C₂×#6103	C₂³	1	2	yes	—
258	C₂×#6103	C₂³	1	2	yes	—
259	C₂×#6103	C₂³	1	2	yes	—
260	C₂×#6103	C₂³	1	2	yes	—
261	C₂×#6103	C₂³	1	2	yes	—
262	C₂×#6103	C₂³	1	2	yes	—
263	C₂×#6103	C₂³	1	2	yes	—
264	C₂×#6103	C₂³	1	2	yes	—
265	C₂×#6103	C₂³	1	2	yes	—
266	C₂×#6103	C₂³	1	2	yes	—
267	C₂×#6103	C₂³	1	16	yes	complemented
268	#88180	C₂³	1	8	yes	complemented
269	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
276	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
277	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
278	#88178	C₂³	1	8	yes	complemented
279	#88178	C₂³	1	8	yes	complemented
280	C₂×#6101	C₂³	1	2	yes	—
281	C₂×#6101	C₂³	1	2	yes	—
282	C₂×#6101	C₂³	1	2	yes	—
283	C₂×#6101	C₂³	1	2	yes	—
284	C₂×#6101	C₂³	1	2	yes	—
285	C₂×#6101	C₂³	1	2	yes	—
286	C₂×#6101	C₂³	1	2	yes	—
287	C₂×#6101	C₂³	1	2	yes	—
288	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
289	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
290	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
291	#88152	C₂³	1	16	yes	complemented
292	#88152	C₂³	1	16	yes	complemented
293	#88151	C₂³	1	16	yes	complemented
294	#88150	C₂³	1	16	yes	complemented
295	#88150	C₂³	1	16	yes	complemented
296	#88150	C₂³	1	16	yes	complemented
297	#88149	C₂³	1	16	yes	—
298	#88148	C₂³	1	16	yes	complemented
299	#88148	C₂³	1	16	yes	complemented
300	#88148	C₂³	1	16	yes	complemented
301	#88148	C₂³	1	16	yes	complemented
302	#88148	C₂³	1	16	yes	complemented
303	#88148	C₂³	1	16	yes	complemented
304	#88147	C₂³	1	16	yes	complemented
305	#88147	C₂³	1	16	yes	complemented
306	#88147	C₂³	1	16	yes	complemented
307	#88146	C₂³	1	16	yes	complemented
308	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
309	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
310	#88143	C₂³	1	16	yes	complemented
311	#88140	C₂³	1	16	yes	complemented
312	#88140	C₂³	1	16	yes	complemented
313	#88139	C₂³	1	16	yes	complemented
314	#88138	C₂³	1	16	yes	complemented
315	#88138	C₂³	1	16	yes	complemented
316	#88138	C₂³	1	16	yes	complemented
317	#88138	C₂³	1	16	yes	complemented
318	#88137	C₂³	1	16	yes	complemented
319	#88137	C₂³	1	16	yes	complemented
320	#88136	C₂³	1	16	yes	—
321	#88136	C₂³	1	16	yes	—
322	#88135	C₂³	1	16	yes	complemented
323	#88135	C₂³	1	16	yes	complemented
324	#88135	C₂³	1	16	yes	complemented
325	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
326	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
327	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
328	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
329	#88133	C₂³	1	16	yes	complemented
330	#88131	C₂³	1	16	yes	complemented
331	#88130	C₂³	1	16	yes	complemented
332	#88129	C₂³	1	8	yes	complemented
333	#88129	C₂³	1	8	yes	complemented
334	#88128	C₂³	1	8	yes	—
335	C₄×D₅₂	C₂³	1	8	yes	—
336	C₄×D₅₂	C₂³	1	8	yes	—
337	C₄×D₅₂	C₂³	1	8	yes	—
338	C₄×D₅₂	C₂³	1	8	yes	—
339	C₄×D₅₂	C₂³	1	8	yes	complemented
340	C₄×D₅₂	C₂³	1	8	yes	complemented
341	C₄×D₅₂	C₂³	1	16	yes	complemented
342	C₄×D₅₂	C₂³	1	16	yes	complemented
343	C₄×D₅₂	C₂³	1	8	yes	complemented
344	C₄×D₅₂	C₂³	1	8	yes	complemented
345	#88126	C₂³	1	16	yes	complemented
346	#88124	C₂³	1	8	yes	complemented
347	#88124	C₂³	1	8	yes	complemented
348	#88123	C₂³	1	8	yes	complemented
349	C₄×Dic₂₆	C₂³	1	8	yes	complemented
350	C₄×Dic₂₆	C₂³	1	8	yes	complemented
351	C₂×#3513	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₁₃	—	2	8	no	—
356	C₂³×D₁₃	—	2	8	no	—
357	C₂³×D₁₃	—	2	8	no	—
358	C₂³×D₁₃	—	4	4	no	—
359	C₂³×D₁₃	—	4	4	no	—
360	C₂³×D₁₃	—	4	4	no	—
361	C₂³×D₁₃	C₂⁴	1	2	yes	—
362	C₂³×D₁₃	C₂⁴	1	2	yes	—
363	C₂³×D₁₃	C₂⁴	1	8	yes	—
364	C₂³×D₁₃	C₂⁴	1	2	yes	—
365	C₂³×D₁₃	C₂⁴	1	8	yes	—
366	C₂×Q₈×C₁₃	—	4	2	no	—
367	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
368	C₂×D₄×C₁₃	—	2	4	no	—
369	C₂×D₄×C₁₃	—	2	4	no	—
370	C₂×D₄×C₁₃	—	4	2	no	—
371	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
373	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
374	C₂²×C₄×C₁₃	—	2	4	no	—
375	C₂²×C₄×C₁₃	—	2	4	no	—
376	C₂²×C₄×C₁₃	—	2	4	no	—
377	C₂²×C₄×C₁₃	—	2	4	no	—
378	C₂²×C₄×C₁₃	—	4	2	no	—
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
394	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₂²⋊D₁₃	—	2	8	no	—
397	C₂×C₂²⋊D₁₃	—	2	8	no	—
398	C₂×C₂²⋊D₁₃	—	4	4	no	—
399	C₂×C₂²⋊D₁₃	—	4	4	no	—
400	C₂×C₂²⋊D₁₃	—	4	4	no	—
401	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
402	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
405	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
406	C₂²×Dic₁₃	—	2	8	no	—
407	C₂²×Dic₁₃	—	4	4	no	—
408	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
409	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
410	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
411	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
412	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
413	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
414	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
415	#6129	—	4	32	no	—
416	D₄×D₁₃	—	4	32	no	—
417	#6127	—	2	32	no	—
418	C₂×D₅₂	—	2	8	no	—
419	C₂×D₅₂	—	2	8	no	—
420	C₂×D₅₂	—	2	4	no	—
421	C₂×D₅₂	—	2	4	no	—
422	C₂×D₅₂	—	2	32	no	—
423	C₂×D₅₂	—	2	32	no	—
424	C₂×D₅₂	—	4	4	no	—
425	C₂×D₅₂	—	4	4	no	—
426	C₂×D₅₂	#41	1	8	yes	complemented
427	C₂×D₅₂	C₂⁴	1	4	yes	—
428	C₂×D₅₂	C₂⁴	1	4	yes	—
429	C₂×D₅₂	C₂⁴	1	8	yes	—
430	C₂×D₅₂	C₂⁴	1	8	yes	—
431	C₂×D₅₂	C₂⁴	1	8	yes	—
432	C₂×D₅₂	C₂⁴	1	8	yes	—
433	C₂×D₅₂	C₂⁴	1	4	yes	—
434	C₂×C₄×D₁₃	—	2	8	no	—
435	C₂×C₄×D₁₃	—	4	4	no	—
436	C₂×C₄×D₁₃	—	4	4	no	—
437	C₂×C₄×D₁₃	—	4	4	no	—
438	C₂×C₄×D₁₃	—	4	4	no	—
439	C₂×C₄×D₁₃	—	4	32	no	—
440	C₂×C₄×D₁₃	—	4	4	no	—
441	C₂×C₄×D₁₃	—	4	4	no	—
442	C₂×C₄×D₁₃	—	4	4	no	—
443	C₂×C₄×D₁₃	—	4	4	no	—
444	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
445	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
446	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
447	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
450	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
451	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
452	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
453	C₂×Dic₂₆	—	2	4	no	—
454	C₂×Dic₂₆	—	4	4	no	—
455	C₂×Dic₂₆	C₂⁴	1	4	yes	—
456	C₂×Dic₂₆	C₂⁴	1	8	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
465	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
471	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
472	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
473	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
474	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
475	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
476	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
477	C₄²×C₁₃	C₂⁴	1	4	yes	—
478	C₄²×C₁₃	C₂⁴	1	4	yes	—
479	C₄²×C₁₃	C₂⁴	1	4	yes	—
480	C₄²×C₁₃	C₂⁴	1	4	yes	—
481	C₄²×C₁₃	C₂⁴	1	4	yes	—
482	C₄²×C₁₃	C₂⁴	1	4	yes	—
483	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
484	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
485	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
486	#6103	C₂⁴	1	8	yes	—
487	#6103	C₂⁴	1	8	yes	—
488	#6103	C₂⁴	1	8	yes	—
489	#6103	C₂⁴	1	8	yes	—
490	#6103	C₂⁴	1	8	yes	—
491	#6103	C₂⁴	1	8	yes	—
492	#6103	C₂⁴	1	8	yes	—
493	#6103	C₂⁴	1	8	yes	—
494	#6103	C₂⁴	1	8	yes	—
495	#6103	C₂⁴	1	8	yes	—
496	#6103	C₂⁴	1	8	yes	—
497	#6103	C₂⁴	1	8	yes	—
498	#6103	C₂⁴	1	8	yes	—
499	#6103	C₂⁴	1	8	yes	—
500	#6103	C₂⁴	1	8	yes	—
501	#6103	C₂⁴	1	8	yes	—
502	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
503	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
504	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
505	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
506	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
507	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
508	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
509	#6101	C₂⁴	1	8	yes	—
510	#6101	C₂⁴	1	8	yes	—
511	#6101	C₂⁴	1	8	yes	—
512	#6101	C₂⁴	1	8	yes	—
513	#6101	C₂⁴	1	8	yes	—
514	#6101	C₂⁴	1	8	yes	—
515	#6101	C₂⁴	1	8	yes	—
516	#6101	C₂⁴	1	8	yes	—
517	C₄×Dic₁₃	C₂⁴	1	8	yes	—
518	C₄×Dic₁₃	C₂⁴	1	8	yes	—
519	C₄×Dic₁₃	C₂⁴	1	8	yes	—
520	#3513	—	13	32	no	—
521	C₂×#559	—	13	1	no	—
522	C₂×#554	—	13	1	no	—
523	C₂×#553	—	13	2	no	—
524	C₂×#553	—	13	1	no	—
525	C₂×#552	—	13	1	no	—
526	C₂×#551	—	13	2	no	—
527	C₂×#551	—	13	2	no	—
528	C₂×#547	—	13	1	no	—
529	C₂×#546	—	13	2	no	—
530	C₂×#546	—	13	1	no	—
531	C₂×#546	—	13	1	no	—
532	C₂×D₄²	—	13	1	no	—
533	C₂×#542	—	13	1	no	—
534	C₂×#540	—	13	1	no	—
535	C₂×#539	—	13	2	no	—
536	C₂×#538	—	13	2	no	—
537	C₂×#529	—	13	1	no	—
538	C₂×#529	D₁₃	1	1	yes	characteristic, complemented
539	C₂×#525	—	13	2	no	—
540	C₂²×#123	—	13	2	no	—
541	C₂×#520	—	13	1	no	—
542	C₂×#518	—	13	1	no	—
543	C₂²×C₄×D₄	—	13	1	no	—
544	C₂³×C₁₃	—	2	2	no	—
545	C₂³×C₁₃	—	2	2	no	—
546	C₂³×C₁₃	—	2	2	no	—
547	C₂³×C₁₃	—	2	2	no	—
548	C₂³×C₁₃	—	2	2	no	—
549	C₂³×C₁₃	—	2	2	no	—
550	C₂³×C₁₃	—	2	2	no	—
551	C₂³×C₁₃	—	2	2	no	—
552	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
553	C₂³×C₁₃	C₂⁵	1	2	yes	—
554	C₂³×C₁₃	C₂⁵	1	2	yes	—
555	C₂³×C₁₃	C₂⁵	1	2	yes	—
556	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
557	C₂²×D₁₃	—	2	4	no	—
558	C₂²×D₁₃	—	2	4	no	—
559	C₂²×D₁₃	—	2	4	no	—
560	C₂²×D₁₃	—	2	4	no	—
561	C₂²×D₁₃	—	2	4	no	—
562	C₂²×D₁₃	—	2	16	no	—
563	C₂²×D₁₃	—	2	4	no	—
564	C₂²×D₁₃	—	2	4	no	—
565	C₂²×D₁₃	—	2	4	no	—
566	C₂²×D₁₃	—	2	16	no	—
567	C₂²×D₁₃	—	2	16	no	—
568	C₂²×D₁₃	—	4	8	no	—
569	C₂²×D₁₃	—	4	8	no	—
570	C₂²×D₁₃	—	4	8	no	—
571	C₂²×D₁₃	—	4	32	no	—
572	C₂²×D₁₃	—	8	16	no	—
573	C₂²×D₁₃	C₂×#41	1	8	yes	—
574	C₂²×D₁₃	C₂⁵	1	4	yes	—
575	C₂²×D₁₃	C₂⁵	1	4	yes	—
576	C₂²×D₁₃	C₂⁵	1	4	yes	—
577	Q₈×C₁₃	—	4	4	no	—
578	D₄×C₁₃	—	2	8	no	—
579	D₄×C₁₃	—	2	8	no	—
580	D₄×C₁₃	—	4	4	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	8	no	—
586	C₂×C₄×C₁₃	—	2	2	no	—
587	C₂×C₄×C₁₃	—	2	2	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	2	no	—
592	C₂×C₄×C₁₃	—	2	2	no	—
593	C₂×C₄×C₁₃	—	2	8	no	—
594	C₂×C₄×C₁₃	—	2	8	no	—
595	C₂×C₄×C₁₃	—	2	8	no	—
596	C₂×C₄×C₁₃	—	4	4	no	—
597	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
598	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
599	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
600	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
601	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
602	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
603	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
604	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
605	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
606	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
607	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
608	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
609	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
610	C₂²⋊D₁₃	—	2	16	no	—
611	C₂²⋊D₁₃	—	2	16	no	—
612	C₂²⋊D₁₃	—	4	8	no	—
613	C₂²⋊D₁₃	—	4	8	no	—
614	C₂²⋊D₁₃	—	4	8	no	—
615	C₂×Dic₁₃	—	2	4	no	—
616	C₂×Dic₁₃	—	2	4	no	—
617	C₂×Dic₁₃	—	2	4	no	—
618	C₂×Dic₁₃	—	2	4	no	—
619	C₂×Dic₁₃	—	2	16	no	—
620	C₂×Dic₁₃	—	2	4	no	—
621	C₂×Dic₁₃	—	4	8	no	—
622	C₂×Dic₁₃	C₂⁵	1	4	yes	—
623	C₂×Dic₁₃	C₂⁵	1	4	yes	—
624	C₂×Dic₁₃	C₂⁵	1	4	yes	—
625	C₂×Dic₁₃	C₂⁵	1	4	yes	—
626	C₂×Dic₁₃	C₂⁵	1	4	yes	—
627	D₅₂	—	2	16	no	—
628	D₅₂	—	2	16	no	—
629	D₅₂	—	2	8	no	—
630	D₅₂	—	2	8	no	—
631	D₅₂	—	4	8	no	—
632	D₅₂	—	4	8	no	—
633	D₅₂	C₂×#41	1	16	yes	complemented
634	C₄×D₁₃	—	2	16	no	—
635	C₄×D₁₃	—	4	8	no	—
636	C₄×D₁₃	—	4	8	no	—
637	C₄×D₁₃	—	4	8	no	—
638	C₄×D₁₃	—	4	8	no	—
639	C₄×D₁₃	—	4	8	no	—
640	C₄×D₁₃	—	4	8	no	—
641	C₄×D₁₃	—	4	8	no	—
642	C₄×D₁₃	—	4	8	no	—
643	Dic₂₆	—	2	8	no	—
644	Dic₂₆	—	4	8	no	—
645	C₂²×#41	—	13	2	no	—
646	C₂²×#41	—	13	1	no	—
647	C₂³×D₄	—	13	2	no	—
648	C₂³×D₄	—	13	1	no	—
649	C₂³×D₄	—	13	1	no	—
650	C₂⁴×C₄	—	13	2	no	—
651	#559	—	13	16	no	—
652	#554	—	13	16	no	—
653	#553	—	13	32	no	—
654	#553	—	13	16	no	—
655	#552	—	13	16	no	—
656	#551	—	13	32	no	—
657	#551	—	13	32	no	—
658	#547	—	13	16	no	—
659	#546	—	13	32	no	—
660	#546	—	13	16	no	—
661	#546	—	13	16	no	—
662	D₄²	—	13	16	no	—
663	#542	—	13	16	no	—
664	#540	—	13	16	no	—
665	#539	—	13	32	no	—
666	#538	—	13	32	no	—
667	C₂×C₄⋊Q₈	—	13	1	no	—
668	C₂×#127	—	13	1	no	—
669	#529	—	13	16	no	—
670	#529	C₂×D₁₃	1	16	yes	complemented
671	C₂×#126	—	13	2	no	—
672	C₂×#126	—	13	2	no	—
673	C₂×#126	—	13	2	no	—
674	C₂×#126	—	13	2	no	—
675	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
676	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
677	C₂×#125	—	13	2	no	—
678	C₂×#125	—	13	1	no	—
679	C₂×#125	—	13	1	no	—
680	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
681	C₂×#124	—	13	2	no	—
682	C₂×#124	—	13	2	no	—
683	C₂×#124	—	13	1	no	—
684	C₂×#124	—	13	1	no	—
685	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
686	#525	—	13	32	no	—
687	C₂×#123	—	13	2	no	—
688	C₂×#123	—	13	2	no	—
689	C₂×#123	—	13	32	no	—
690	C₂×#123	—	13	2	no	—
691	C₂×#123	—	13	2	no	—
692	C₂×#123	—	13	2	no	—
693	C₂×#123	—	13	2	no	—
694	C₂×#123	—	13	2	no	—
695	C₂×#123	—	13	2	no	—
696	C₂×#123	—	13	2	no	—
697	C₂×#123	—	13	2	no	—
698	C₂×#123	—	13	2	no	—
699	C₂×#123	—	13	2	no	—
700	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
701	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
702	C₂×C₂²⋊Q₈	—	13	2	no	—
703	C₂×C₂²⋊Q₈	—	13	1	no	—
704	C₂×C₂²⋊Q₈	—	13	1	no	—
705	C₂×C₂²⋊Q₈	—	13	2	no	—
706	C₂×C₂²⋊Q₈	—	13	2	no	—
707	C₂×C₂²⋊Q₈	—	13	2	no	—
708	C₂×C₂²⋊Q₈	—	13	2	no	—
709	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
710	C₂×#121	—	13	2	no	—
711	C₂×#121	—	13	1	no	—
712	C₂×#121	—	13	1	no	—
713	C₂×#121	—	13	1	no	—
714	C₂×#121	—	13	1	no	—
715	C₂×#121	—	13	2	no	—
716	C₂×#121	—	13	2	no	—
717	C₂×#121	—	13	2	no	—
718	C₂×#121	—	13	2	no	—
719	C₂×#121	—	13	2	no	—
720	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
721	C₂×#120	—	13	2	no	—
722	C₂×#120	—	13	2	no	—
723	C₂×#120	—	13	2	no	—
724	C₂×#120	—	13	2	no	—
725	#520	—	13	16	no	—
726	#518	—	13	16	no	—
727	C₂×C₄×Q₈	—	13	1	no	—
728	C₂×C₄×Q₈	—	13	1	no	—
729	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
730	C₂×C₄×D₄	—	13	2	no	—
731	C₂×C₄×D₄	—	13	2	no	—
732	C₂×C₄×D₄	—	13	2	no	—
733	C₂×C₄×D₄	—	13	2	no	—
734	C₂×C₄×D₄	—	13	2	no	—
735	C₂×C₄×D₄	—	13	2	no	—
736	C₂×C₄×D₄	—	13	2	no	—
737	C₂×C₄×D₄	—	13	1	no	—
738	C₂×C₄×D₄	—	13	1	no	—
739	C₂×C₄×D₄	—	13	1	no	—
740	C₂×C₄×D₄	—	13	1	no	—
741	C₂×C₄×D₄	—	13	2	no	—
742	C₂×C₄×D₄	—	13	1	no	—
743	C₂×C₄×D₄	—	13	2	no	—
744	C₂×C₄×D₄	—	13	1	no	—
745	C₂×C₄×D₄	—	13	1	no	—
746	C₂×C₄×D₄	—	13	1	no	—
747	C₂×C₄×D₄	—	13	16	no	—
748	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
749	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
750	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
751	C₂×#117	—	13	1	no	—
752	C₂×#117	—	13	2	no	—
753	C₂×#117	—	13	2	no	—
754	C₂×#117	—	13	2	no	—
755	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
756	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
757	C₂²×C₄⋊C₄	—	13	1	no	—
758	C₂²×C₄⋊C₄	—	13	1	no	—
759	C₂²×C₄⋊C₄	—	13	2	no	—
760	C₂²×C₄⋊C₄	—	13	2	no	—
761	C₂²×C₂²⋊C₄	—	13	2	no	—
762	C₂²×C₂²⋊C₄	—	13	2	no	—
763	C₂²×C₂²⋊C₄	—	13	2	no	—
764	C₂²×C₂²⋊C₄	—	13	2	no	—
765	C₂²×C₂²⋊C₄	—	13	2	no	—
766	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
767	C₂²×C₁₃	—	2	2	no	—
768	C₂²×C₁₃	—	2	2	no	—
769	C₂²×C₁₃	—	2	8	no	—
770	C₂²×C₁₃	—	2	2	no	—
771	C₂²×C₁₃	—	2	2	no	—
772	C₂²×C₁₃	—	2	2	no	—
773	C₂²×C₁₃	—	2	2	no	—
774	C₂²×C₁₃	—	2	2	no	—
775	C₂²×C₁₃	—	2	2	no	—
776	C₂²×C₁₃	—	4	4	no	—
777	C₂²×C₁₃	—	4	4	no	—
778	C₂²×C₁₃	C₂²×#41	1	2	yes	—
779	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
780	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
781	C₂²×C₁₃	#585	1	2	yes	—
782	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
783	C₂×D₁₃	—	2	4	no	—
784	C₂×D₁₃	—	2	4	no	—
785	C₂×D₁₃	—	2	16	no	—
786	C₂×D₁₃	—	2	4	no	—
787	C₂×D₁₃	—	2	4	no	—
788	C₂×D₁₃	—	2	4	no	—
789	C₂×D₁₃	—	2	4	no	—
790	C₂×D₁₃	—	2	4	no	—
791	C₂×D₁₃	—	2	4	no	—
792	C₂×D₁₃	—	4	32	no	—
793	C₂×D₁₃	—	4	8	no	—
794	C₂×D₁₃	—	4	8	no	—
795	C₂×D₁₃	—	8	16	no	—
796	C₂×D₁₃	C₂²×#41	1	8	yes	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	2	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	2	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	2	no	—
803	C₄×C₁₃	—	2	2	no	—
804	C₄×C₁₃	—	2	2	no	—
805	C₄×C₁₃	—	2	2	no	—
806	C₄×C₁₃	—	2	2	no	—
807	C₄×C₁₃	—	2	2	no	—
808	C₄×C₁₃	C₂²×#41	1	4	yes	—
809	Dic₁₃	—	2	4	no	—
810	Dic₁₃	—	2	4	no	—
811	Dic₁₃	—	2	4	no	—
812	Dic₁₃	—	2	4	no	—
813	Dic₁₃	—	2	4	no	—
814	C₂⁵	—	13	2	no	—
815	C₂⁵	—	13	2	no	—
816	C₂×#41	—	13	16	no	—
817	C₂×#41	—	13	8	no	—
818	C₂×#41	—	26	8	no	—
819	C₂×#41	—	52	8	no	—
820	C₂²×Q₈	—	13	1	no	—
821	C₂²×Q₈	—	13	2	no	—
822	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
823	C₂²×D₄	—	13	2	no	—
824	C₂²×D₄	—	13	2	no	—
825	C₂²×D₄	—	13	2	no	—
826	C₂²×D₄	—	13	2	no	—
827	C₂²×D₄	—	13	2	no	—
828	C₂²×D₄	—	13	16	no	—
829	C₂²×D₄	—	13	1	no	—
830	C₂²×D₄	—	13	2	no	—
831	C₂²×D₄	—	13	2	no	—
832	C₂²×D₄	—	13	1	no	—
833	C₂²×D₄	—	13	1	no	—
834	C₂²×D₄	—	13	8	no	—
835	C₂²×D₄	—	13	8	no	—
836	C₂²×D₄	—	13	2	no	—
837	C₂²×D₄	—	13	2	no	—
838	C₂²×D₄	—	26	8	no	—
839	C₂²×D₄	—	26	8	no	—
840	C₂²×D₄	—	52	8	no	—
841	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
842	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
843	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
844	C₂³×C₄	—	13	2	no	—
845	C₂³×C₄	—	13	2	no	—
846	C₂³×C₄	—	13	2	no	—
847	C₂³×C₄	—	13	2	no	—
848	C₂³×C₄	—	13	2	no	—
849	C₂³×C₄	—	13	2	no	—
850	C₂³×C₄	—	13	2	no	—
851	C₂³×C₄	—	13	2	no	—
852	C₂³×C₄	—	13	2	no	—
853	C₂³×C₄	—	13	2	no	—
854	C₂³×C₄	—	13	2	no	—
855	C₂³×C₄	—	13	16	no	—
856	C₂³×C₄	—	52	8	no	—
857	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
858	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
859	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
860	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
861	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
862	C₄⋊Q₈	—	13	8	no	—
863	#127	—	13	8	no	—
864	#126	—	13	16	no	—
865	#126	—	13	16	no	—
866	#126	—	13	16	no	—
867	#126	—	13	16	no	—
868	#126	C₂²×D₁₃	1	8	yes	complemented
869	#126	C₂²×D₁₃	1	8	yes	complemented
870	#125	—	13	16	no	—
871	#125	—	13	8	no	—
872	#125	—	13	8	no	—
873	#125	C₂²×D₁₃	1	8	yes	complemented
874	#124	—	13	16	no	—
875	#124	—	13	16	no	—
876	#124	—	13	8	no	—
877	#124	—	13	8	no	—
878	#124	C₂²×D₁₃	1	8	yes	complemented
879	#123	—	13	16	no	—
880	#123	—	13	16	no	—
881	#123	—	13	16	no	—
882	#123	—	13	16	no	—
883	#123	—	13	16	no	—
884	#123	—	13	16	no	—
885	#123	—	13	16	no	—
886	#123	—	13	16	no	—
887	#123	—	13	16	no	—
888	#123	—	13	16	no	—
889	#123	—	13	16	no	—
890	#123	—	13	16	no	—
891	#123	C₂²×D₁₃	1	8	yes	—
892	#123	C₂²×D₁₃	1	8	yes	complemented
893	C₂²⋊Q₈	—	13	16	no	—
894	C₂²⋊Q₈	—	13	8	no	—
895	C₂²⋊Q₈	—	13	8	no	—
896	C₂²⋊Q₈	—	13	16	no	—
897	C₂²⋊Q₈	—	13	16	no	—
898	C₂²⋊Q₈	—	13	16	no	—
899	C₂²⋊Q₈	—	13	16	no	—
900	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
901	#121	—	13	16	no	—
902	#121	—	13	8	no	—
903	#121	—	13	8	no	—
904	#121	—	13	8	no	—
905	#121	—	13	8	no	—
906	#121	—	13	16	no	—
907	#121	—	13	16	no	—
908	#121	—	13	16	no	—
909	#121	—	13	16	no	—
910	#121	—	13	16	no	—
911	#121	C₂²×D₁₃	1	8	yes	—
912	#120	—	13	16	no	—
913	#120	—	13	16	no	—
914	#120	—	13	16	no	—
915	#120	—	13	16	no	—
916	C₄×Q₈	—	13	8	no	—
917	C₄×Q₈	—	13	8	no	—
918	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
919	C₄×D₄	—	13	16	no	—
920	C₄×D₄	—	13	16	no	—
921	C₄×D₄	—	13	16	no	—
922	C₄×D₄	—	13	16	no	—
923	C₄×D₄	—	13	16	no	—
924	C₄×D₄	—	13	16	no	—
925	C₄×D₄	—	13	16	no	—
926	C₄×D₄	—	13	8	no	—
927	C₄×D₄	—	13	16	no	—
928	C₄×D₄	—	13	8	no	—
929	C₄×D₄	—	13	8	no	—
930	C₄×D₄	—	13	16	no	—
931	C₄×D₄	—	13	8	no	—
932	C₄×D₄	—	13	8	no	—
933	C₄×D₄	—	13	8	no	—
934	C₄×D₄	—	13	8	no	—
935	C₄×D₄	—	13	8	no	—
936	C₄×D₄	C₂²×D₁₃	1	8	yes	—
937	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
938	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
939	#117	—	13	8	no	—
940	#117	—	13	16	no	—
941	#117	—	13	16	no	—
942	#117	—	13	16	no	—
943	#117	C₂²×D₁₃	1	8	yes	complemented
944	#117	C₂²×D₁₃	1	8	yes	complemented
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	2	no	—
947	C₂×C₄⋊C₄	—	13	2	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	2	no	—
950	C₂×C₄⋊C₄	—	13	8	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	2	no	—
953	C₂×C₄⋊C₄	—	13	2	no	—
954	C₂×C₄⋊C₄	—	13	8	no	—
955	C₂×C₄⋊C₄	—	13	2	no	—
956	C₂×C₄⋊C₄	—	13	2	no	—
957	C₂×C₄⋊C₄	—	13	1	no	—
958	C₂×C₄⋊C₄	—	13	2	no	—
959	C₂×C₄⋊C₄	—	13	2	no	—
960	C₂×C₄⋊C₄	—	13	2	no	—
961	C₂×C₄⋊C₄	—	13	2	no	—
962	C₂×C₄⋊C₄	—	13	16	no	—
963	C₂×C₄⋊C₄	—	13	16	no	—
964	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
971	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
973	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	—	13	2	no	—
975	C₂×C₂²⋊C₄	—	13	2	no	—
976	C₂×C₂²⋊C₄	—	13	2	no	—
977	C₂×C₂²⋊C₄	—	13	2	no	—
978	C₂×C₂²⋊C₄	—	13	2	no	—
979	C₂×C₂²⋊C₄	—	13	2	no	—
980	C₂×C₂²⋊C₄	—	13	2	no	—
981	C₂×C₂²⋊C₄	—	13	2	no	—
982	C₂×C₂²⋊C₄	—	13	2	no	—
983	C₂×C₂²⋊C₄	—	13	2	no	—
984	C₂×C₂²⋊C₄	—	13	2	no	—
985	C₂×C₂²⋊C₄	—	13	16	no	—
986	C₂×C₂²⋊C₄	—	13	2	no	—
987	C₂×C₂²⋊C₄	—	13	2	no	—
988	C₂×C₂²⋊C₄	—	13	2	no	—
989	C₂×C₂²⋊C₄	—	13	2	no	—
990	C₂×C₂²⋊C₄	—	13	2	no	—
991	C₂×C₂²⋊C₄	—	13	2	no	—
992	C₂×C₂²⋊C₄	—	13	2	no	—
993	C₂×C₂²⋊C₄	—	13	2	no	—
994	C₂×C₂²⋊C₄	—	13	16	no	—
995	C₂×C₂²⋊C₄	—	13	16	no	—
996	C₂×C₂²⋊C₄	—	13	16	no	—
997	C₂×C₂²⋊C₄	—	13	16	no	—
998	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
999	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1000	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1001	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1003	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1004	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂×C₄²	—	13	2	no	—
1009	C₂×C₄²	—	13	2	no	—
1010	C₂×C₄²	—	13	2	no	—
1011	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1012	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₄²	C₂²×D₁₃	1	8	yes	complemented
1018	C₂×C₁₃	—	2	4	no	—
1019	C₂×C₁₃	—	4	2	no	—
1020	C₂×C₁₃	—	4	2	no	—
1021	C₂×C₁₃	#3513	1	4	yes	complemented
1022	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1023	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1024	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1025	D₁₃	—	2	8	no	—
1026	D₁₃	—	4	4	no	—
1027	D₁₃	—	4	4	no	—
1028	C₂⁴	—	13	2	no	—
1029	C₂⁴	—	13	2	no	—
1030	C₂⁴	—	13	2	no	—
1031	C₂⁴	—	13	8	no	—
1032	C₂⁴	—	13	8	no	—
1033	C₂⁴	—	26	8	no	—
1034	C₂⁴	—	26	8	no	—
1035	C₂⁴	—	26	8	no	—
1036	C₂⁴	—	52	4	no	—
1037	C₂⁴	—	52	4	no	—
1038	C₂⁴	—	52	4	no	—
1039	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1040	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1041	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1042	#41	—	26	32	no	—
1043	#41	—	52	32	no	—
1044	C₂×Q₈	—	4	2	no	—
1045	C₂×Q₈	—	13	4	no	—
1046	C₂×Q₈	—	13	8	no	—
1047	C₂×Q₈	—	26	4	no	—
1048	C₂×Q₈	—	52	4	no	—
1049	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1050	C₂×D₄	—	2	4	no	—
1051	C₂×D₄	—	2	4	no	—
1052	C₂×D₄	—	4	2	no	—
1053	C₂×D₄	—	13	8	no	—
1054	C₂×D₄	—	13	8	no	—
1055	C₂×D₄	—	13	8	no	—
1056	C₂×D₄	—	13	8	no	—
1057	C₂×D₄	—	13	8	no	—
1058	C₂×D₄	—	13	8	no	—
1059	C₂×D₄	—	13	4	no	—
1060	C₂×D₄	—	13	8	no	—
1061	C₂×D₄	—	13	8	no	—
1062	C₂×D₄	—	13	4	no	—
1063	C₂×D₄	—	13	4	no	—
1064	C₂×D₄	—	13	8	no	—
1065	C₂×D₄	—	13	8	no	—
1066	C₂×D₄	—	26	32	no	—
1067	C₂×D₄	—	26	32	no	—
1068	C₂×D₄	—	26	8	no	—
1069	C₂×D₄	—	26	8	no	—
1070	C₂×D₄	—	26	8	no	—
1071	C₂×D₄	—	26	8	no	—
1072	C₂×D₄	—	26	4	no	—
1073	C₂×D₄	—	26	4	no	—
1074	C₂×D₄	—	52	4	no	—
1075	C₂×D₄	—	52	4	no	—
1076	C₂×D₄	—	52	4	no	—
1077	C₂×D₄	—	52	4	no	—
1078	C₂×D₄	—	52	4	no	—
1079	C₂×D₄	—	52	32	no	—
1080	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1081	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1082	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1083	C₂²×C₄	—	2	4	no	—
1084	C₂²×C₄	—	2	4	no	—
1085	C₂²×C₄	—	2	4	no	—
1086	C₂²×C₄	—	2	4	no	—
1087	C₂²×C₄	—	4	2	no	—
1088	C₂²×C₄	—	13	8	no	—
1089	C₂²×C₄	—	13	2	no	—
1090	C₂²×C₄	—	13	2	no	—
1091	C₂²×C₄	—	13	2	no	—
1092	C₂²×C₄	—	13	2	no	—
1093	C₂²×C₄	—	13	2	no	—
1094	C₂²×C₄	—	13	8	no	—
1095	C₂²×C₄	—	13	8	no	—
1096	C₂²×C₄	—	13	8	no	—
1097	C₂²×C₄	—	13	8	no	—
1098	C₂²×C₄	—	13	8	no	—
1099	C₂²×C₄	—	13	8	no	—
1100	C₂²×C₄	—	13	8	no	—
1101	C₂²×C₄	—	13	8	no	—
1102	C₂²×C₄	—	13	8	no	—
1103	C₂²×C₄	—	13	8	no	—
1104	C₂²×C₄	—	26	8	no	—
1105	C₂²×C₄	—	26	8	no	—
1106	C₂²×C₄	—	52	4	no	—
1107	C₂²×C₄	—	52	4	no	—
1108	C₂²×C₄	—	52	4	no	—
1109	C₂²×C₄	—	52	4	no	—
1110	C₂²×C₄	—	52	32	no	—
1111	C₂²×C₄	—	52	4	no	—
1112	C₂²×C₄	—	52	4	no	—
1113	C₂²×C₄	—	52	4	no	—
1114	C₂²×C₄	—	52	4	no	—
1115	C₂²×C₄	—	52	4	no	—
1116	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1117	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1118	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1119	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1120	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1121	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1122	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1132	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1133	C₄⋊C₄	—	13	4	no	—
1134	C₄⋊C₄	—	13	8	no	—
1135	C₄⋊C₄	—	13	8	no	—
1136	C₄⋊C₄	—	13	4	no	—
1137	C₄⋊C₄	—	13	8	no	—
1138	C₄⋊C₄	—	13	4	no	—
1139	C₄⋊C₄	—	13	8	no	—
1140	C₄⋊C₄	—	13	8	no	—
1141	C₄⋊C₄	—	13	8	no	—
1142	C₄⋊C₄	—	13	8	no	—
1143	C₄⋊C₄	—	13	4	no	—
1144	C₄⋊C₄	—	13	8	no	—
1145	C₄⋊C₄	—	13	8	no	—
1146	C₄⋊C₄	—	13	8	no	—
1147	C₄⋊C₄	—	13	8	no	—
1148	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1149	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1150	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1151	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1152	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1153	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1154	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1155	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1156	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1157	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1158	C₂²⋊C₄	—	13	8	no	—
1159	C₂²⋊C₄	—	13	8	no	—
1160	C₂²⋊C₄	—	13	8	no	—
1161	C₂²⋊C₄	—	13	8	no	—
1162	C₂²⋊C₄	—	13	8	no	—
1163	C₂²⋊C₄	—	13	8	no	—
1164	C₂²⋊C₄	—	13	8	no	—
1165	C₂²⋊C₄	—	13	8	no	—
1166	C₂²⋊C₄	—	13	8	no	—
1167	C₂²⋊C₄	—	13	8	no	—
1168	C₂²⋊C₄	—	13	8	no	—
1169	C₂²⋊C₄	—	13	8	no	—
1170	C₂²⋊C₄	—	13	8	no	—
1171	C₂²⋊C₄	—	13	8	no	—
1172	C₂²⋊C₄	—	13	8	no	—
1173	C₂²⋊C₄	—	13	8	no	—
1174	C₂²⋊C₄	—	13	8	no	—
1175	C₂²⋊C₄	—	13	8	no	—
1176	C₂²⋊C₄	—	13	8	no	—
1177	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1178	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1179	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1180	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1181	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1182	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1183	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1184	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1185	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1186	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1187	C₄²	—	13	8	no	—
1188	C₄²	—	13	8	no	—
1189	C₄²	—	13	8	no	—
1190	C₄²	C₂³×D₁₃	1	4	yes	—
1191	C₄²	C₂³×D₁₃	1	4	yes	—
1192	C₄²	C₂³×D₁₃	1	4	yes	—
1193	C₄²	C₂³×D₁₃	1	4	yes	—
1194	C₄²	C₂³×D₁₃	1	4	yes	—
1195	C₄²	C₂³×D₁₃	1	4	yes	—
1196	C₁₃	C₂×#3513	1	1	yes	characteristic, complemented, Sylow
1197	C₂³	—	2	2	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	2	no	—
1202	C₂³	—	2	2	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	13	8	no	—
1206	C₂³	—	13	4	no	—
1207	C₂³	—	13	4	no	—
1208	C₂³	—	13	4	no	—
1209	C₂³	—	26	16	no	—
1210	C₂³	—	26	16	no	—
1211	C₂³	—	26	4	no	—
1212	C₂³	—	26	4	no	—
1213	C₂³	—	26	4	no	—
1214	C₂³	—	26	4	no	—
1215	C₂³	—	26	16	no	—
1216	C₂³	—	26	4	no	—
1217	C₂³	—	26	4	no	—
1218	C₂³	—	26	4	no	—
1219	C₂³	—	26	4	no	—
1220	C₂³	—	52	8	no	—
1221	C₂³	—	52	8	no	—
1222	C₂³	—	52	8	no	—
1223	C₂³	—	52	32	no	—
1224	C₂³	—	104	16	no	—
1225	C₂³	#88256	1	4	yes	—
1226	C₂³	C₂⁴×D₁₃	1	2	yes	—
1227	C₂³	C₂⁴×D₁₃	1	2	yes	—
1228	C₂³	C₂⁴×D₁₃	1	2	yes	—
1229	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1230	Q₈	—	4	4	no	—
1231	Q₈	—	26	8	no	—
1232	Q₈	—	52	8	no	—
1233	D₄	—	2	8	no	—
1234	D₄	—	2	8	no	—
1235	D₄	—	4	4	no	—
1236	D₄	—	13	16	no	—
1237	D₄	—	26	16	no	—
1238	D₄	—	26	16	no	—
1239	D₄	—	26	16	no	—
1240	D₄	—	26	16	no	—
1241	D₄	—	26	8	no	—
1242	D₄	—	26	8	no	—
1243	D₄	—	52	8	no	—
1244	D₄	—	52	8	no	—
1245	D₄	—	52	8	no	—
1246	D₄	—	52	8	no	—
1247	D₄	—	52	8	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	8	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	2	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	8	no	—
1261	C₂×C₄	—	2	8	no	—
1262	C₂×C₄	—	2	8	no	—
1263	C₂×C₄	—	4	4	no	—
1264	C₂×C₄	—	13	4	no	—
1265	C₂×C₄	—	13	4	no	—
1266	C₂×C₄	—	13	4	no	—
1267	C₂×C₄	—	13	4	no	—
1268	C₂×C₄	—	13	4	no	—
1269	C₂×C₄	—	26	16	no	—
1270	C₂×C₄	—	26	4	no	—
1271	C₂×C₄	—	26	4	no	—
1272	C₂×C₄	—	26	4	no	—
1273	C₂×C₄	—	26	16	no	—
1274	C₂×C₄	—	26	4	no	—
1275	C₂×C₄	—	26	4	no	—
1276	C₂×C₄	—	52	8	no	—
1277	C₂×C₄	—	52	8	no	—
1278	C₂×C₄	—	52	8	no	—
1279	C₂×C₄	—	52	8	no	—
1280	C₂×C₄	—	52	8	no	—
1281	C₂×C₄	—	52	8	no	—
1282	C₂×C₄	—	52	8	no	—
1283	C₂×C₄	—	52	8	no	—
1284	C₂×C₄	—	52	8	no	—
1285	C₂×C₄	#41×D₁₃	1	4	yes	—
1286	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1287	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1288	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1289	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1290	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1291	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1292	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1293	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1294	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1295	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1296	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1297	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1298	C₂²	—	2	8	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	2	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	4	4	no	—
1308	C₂²	—	4	4	no	—
1309	C₂²	—	13	8	no	—
1310	C₂²	—	26	16	no	—
1311	C₂²	—	26	4	no	—
1312	C₂²	—	26	4	no	—
1313	C₂²	—	26	4	no	—
1314	C₂²	—	26	4	no	—
1315	C₂²	—	26	4	no	—
1316	C₂²	—	26	4	no	—
1317	C₂²	—	26	4	no	—
1318	C₂²	—	26	4	no	—
1319	C₂²	—	52	32	no	—
1320	C₂²	—	52	8	no	—
1321	C₂²	—	52	8	no	—
1322	C₂²	—	104	16	no	—
1323	C₂²	C₂×#41×D₁₃	1	2	yes	—
1324	C₂²	C₂×#88256	1	4	yes	—
1325	C₂²	C₂×#88256	1	2	yes	—
1326	C₂²	#11719648	1	2	yes	—
1327	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	2	2	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	2	no	—
1335	C₄	—	2	2	no	—
1336	C₄	—	2	2	no	—
1337	C₄	—	2	2	no	—
1338	C₄	—	2	2	no	—
1339	C₄	—	26	4	no	—
1340	C₄	—	26	4	no	—
1341	C₄	—	26	4	no	—
1342	C₄	—	26	4	no	—
1343	C₄	—	26	4	no	—
1344	C₄	C₂×#41×D₁₃	1	4	yes	—
1345	C₂	—	2	4	no	—
1346	C₂	—	4	2	no	—
1347	C₂	—	4	2	no	—
1348	C₂	—	26	8	no	—
1349	C₂	—	52	4	no	—
1350	C₂	—	52	4	no	—
1351	C₂	#13128780	1	4	yes	direct product factor
1352	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1353	C₂	C₂²×#88256	1	1	yes	characteristic
1354	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#529	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#529	D₁₃
hypocenter	C₁₃	C₂×#3513
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #13128780	C₂	direct (N × H)
2. C₂×#11719290	C₂	semidirect
3. C₂×#11719284	C₂	semidirect
4. C₂×#11719414	C₂	semidirect
5. C₂×#11719270	C₂	semidirect
6. C₂×#11719246	C₂	semidirect
7. C₂×#11719342	C₂	semidirect
8. C₂×#11719410	C₂	semidirect
9. C₂×#11719260	C₂	semidirect
10. C₂×#11719255	C₂	semidirect
11. C₂×#11719255	C₂	semidirect
12. C₂×#11719315	C₂	semidirect
13. C₂×D₄×D₅₂	C₂	semidirect
14. C₂×#11719239	C₂	semidirect
15. C₂×#11719240	C₂	semidirect
16. C₂×#11719397	C₂	semidirect
17. C₂×#11719383	C₂	semidirect
18. C₂×#11719184	C₂	semidirect
19. C₂×#11719361	C₂	semidirect
20. C₂×D₁₃×#123	C₂	semidirect
21. C₂×#11719228	C₂	semidirect
22. C₂×#11719226	C₂	semidirect
23. C₂²×C₄×D₅₂	C₂	semidirect
24. C₂×C₁₃×#529	C₂	semidirect
25. C₂²×#6129	C₂²	semidirect
30. C₂³×C₄×D₁₃	C₂²	semidirect
31. C₁₃×#529	C₂²	semidirect
32. C₂×C₁₃×#126	C₂²	semidirect
33. C₂×C₁₃×#126	C₂²	semidirect
34. C₂×C₁₃×#125	C₂²	semidirect
35. C₂×C₁₃×#124	C₂²	semidirect
37. C₂×C₁₃×#123	C₂²	semidirect
38. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃	C₂²	semidirect
43. C₂×C₄×D₄×C₁₃	C₂²	semidirect
44. C₂×C₁₃×#117	C₂²	semidirect
45. C₂×C₁₃×#117	C₂²	semidirect
46. C₂²×C₄²×C₁₃	C₂²	semidirect
47. C₂×#88201	C₂²	semidirect
48. C₂×#88200	C₂²	semidirect
49. C₂×#88193	C₂²	semidirect
50. C₂×#88191	C₂²	semidirect
51. C₂×#88191	C₂²	semidirect
55. C₂×#88184	C₂²	semidirect
56. C₂×#88184	C₂²	semidirect
57. C₂×#88183	C₂²	semidirect
58. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
59. C₂²×#6103	C₂²	semidirect
60. C₂×#88180	C₂²	semidirect
61. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
62. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
63. C₂×#88178	C₂²	semidirect
64. C₂×#88178	C₂²	semidirect
65. #11719414	C₂²	semidirect
66. #11719410	C₂²	semidirect
67. #11719397	C₂²	semidirect
68. #11719383	C₂²	semidirect
69. #11719361	C₂²	semidirect
70. D₁₃×#123	C₂²	semidirect
71. #11719342	C₂²	semidirect
72. #11719315	C₂²	semidirect
73. #11719290	C₂²	semidirect
74. #11719284	C₂²	semidirect
75. #11719270	C₂²	semidirect
76. #11719260	C₂²	semidirect
77. #11719255	C₂²	semidirect
78. #11719255	C₂²	semidirect
79. D₄×D₅₂	C₂²	semidirect
80. #11719246	C₂²	semidirect
81. #11719240	C₂²	semidirect
82. #11719239	C₂²	semidirect
83. #11719228	C₂²	semidirect
84. #11719226	C₂²	semidirect
85. C₂×#88152	C₂²	semidirect
86. C₂×#88152	C₂²	semidirect
87. C₂×#88151	C₂²	semidirect
88. C₂×#88150	C₂²	semidirect
89. C₂×#88150	C₂²	semidirect
90. C₂×#88150	C₂²	semidirect
92. C₂×#88148	C₂²	semidirect
93. C₂×#88148	C₂²	semidirect
94. C₂×#88148	C₂²	semidirect
95. C₂×#88148	C₂²	semidirect
96. C₂×#88148	C₂²	semidirect
97. C₂×#88148	C₂²	semidirect
98. C₂×#88147	C₂²	semidirect
99. C₂×#88147	C₂²	semidirect
100. C₂×#88147	C₂²	semidirect
101. C₂×#88146	C₂²	semidirect
102. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
103. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
104. C₂×#88143	C₂²	semidirect
105. C₂×#88140	C₂²	semidirect
106. C₂×#88140	C₂²	semidirect
107. C₂×#88139	C₂²	semidirect
108. C₂×#88138	C₂²	semidirect
109. C₂×#88138	C₂²	semidirect
110. C₂×#88138	C₂²	semidirect
111. C₂×#88138	C₂²	semidirect
112. C₂×#88137	C₂²	semidirect
113. C₂×#88137	C₂²	semidirect
116. C₂×#88135	C₂²	semidirect
117. C₂×#88135	C₂²	semidirect
118. C₂×#88135	C₂²	semidirect
119. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
120. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
121. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
122. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
123. C₂×#88133	C₂²	semidirect
124. C₂×#88131	C₂²	semidirect
125. #11719184	C₂²	semidirect
126. C₂×#88130	C₂²	semidirect
127. C₂×#88129	C₂²	semidirect
128. C₂×#88129	C₂²	semidirect
134. C₂×C₄×D₅₂	C₂²	semidirect
135. C₂×C₄×D₅₂	C₂²	semidirect
136. C₂×C₄×D₅₂	C₂²	semidirect
137. C₂×C₄×D₅₂	C₂²	semidirect
138. C₂×C₄×D₅₂	C₂²	semidirect
139. C₂×C₄×D₅₂	C₂²	semidirect
140. C₂×C₄×D₅₂	C₂²	semidirect
141. C₂×#88126	C₂²	semidirect
142. C₂×#88124	C₂²	semidirect
143. C₂×#88124	C₂²	semidirect
144. C₂×#88123	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
166. C₂×#6129	C₂³	semidirect
192. C₂²×C₄×D₁₃	C₂³	semidirect
195. C₁₃×#126	C₂³	semidirect
196. C₁₃×#126	C₂³	semidirect
197. C₁₃×#125	C₂³	semidirect
198. C₁₃×#124	C₂³	semidirect
200. C₁₃×#123	C₂³	semidirect
201. C₁₃×C₂²⋊Q₈	C₂³	semidirect
203. C₄×Q₈×C₁₃	C₂³	semidirect
205. C₄×D₄×C₁₃	C₂³	semidirect
206. C₄×D₄×C₁₃	C₂³	semidirect
207. C₁₃×#117	C₂³	semidirect
208. C₁₃×#117	C₂³	semidirect
235. C₂×C₄²×C₁₃	C₂³	semidirect
239. #88201	C₂³	semidirect
240. #88200	C₂³	semidirect
241. #88193	C₂³	semidirect
242. #88191	C₂³	semidirect
243. #88191	C₂³	semidirect
247. #88184	C₂³	semidirect
248. #88184	C₂³	semidirect
249. #88183	C₂³	semidirect
250. C₄×C₂²⋊D₁₃	C₂³	semidirect
267. C₂×#6103	C₂³	semidirect
268. #88180	C₂³	semidirect
276. C₂×C₄⋊Dic₁₃	C₂³	semidirect
277. C₂×C₄⋊Dic₁₃	C₂³	semidirect
278. #88178	C₂³	semidirect
279. #88178	C₂³	semidirect
291. #88152	C₂³	semidirect
292. #88152	C₂³	semidirect
293. #88151	C₂³	semidirect
294. #88150	C₂³	semidirect
295. #88150	C₂³	semidirect
296. #88150	C₂³	semidirect
298. #88148	C₂³	semidirect
299. #88148	C₂³	semidirect
300. #88148	C₂³	semidirect
301. #88148	C₂³	semidirect
302. #88148	C₂³	semidirect
303. #88148	C₂³	semidirect
304. #88147	C₂³	semidirect
305. #88147	C₂³	semidirect
306. #88147	C₂³	semidirect
307. #88146	C₂³	semidirect
308. C₄⋊C₄×D₁₃	C₂³	semidirect
309. C₄⋊C₄×D₁₃	C₂³	semidirect
310. #88143	C₂³	semidirect
311. #88140	C₂³	semidirect
312. #88140	C₂³	semidirect
313. #88139	C₂³	semidirect
314. #88138	C₂³	semidirect
315. #88138	C₂³	semidirect
316. #88138	C₂³	semidirect
317. #88138	C₂³	semidirect
318. #88137	C₂³	semidirect
319. #88137	C₂³	semidirect
322. #88135	C₂³	semidirect
323. #88135	C₂³	semidirect
324. #88135	C₂³	semidirect
325. C₂²⋊C₄×D₁₃	C₂³	semidirect
326. C₂²⋊C₄×D₁₃	C₂³	semidirect
327. C₂²⋊C₄×D₁₃	C₂³	semidirect
328. C₂²⋊C₄×D₁₃	C₂³	semidirect
329. #88133	C₂³	semidirect
330. #88131	C₂³	semidirect
331. #88130	C₂³	semidirect
332. #88129	C₂³	semidirect
333. #88129	C₂³	semidirect
339. C₄×D₅₂	C₂³	semidirect
340. C₄×D₅₂	C₂³	semidirect
341. C₄×D₅₂	C₂³	semidirect
342. C₄×D₅₂	C₂³	semidirect
343. C₄×D₅₂	C₂³	semidirect
344. C₄×D₅₂	C₂³	semidirect
345. #88126	C₂³	semidirect
346. #88124	C₂³	semidirect
347. #88124	C₂³	semidirect
348. #88123	C₂³	semidirect
349. C₄×Dic₂₆	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
426. C₂×D₅₂	#41	semidirect
538. C₂×#529	D₁₃	semidirect
633. D₅₂	C₂×#41	semidirect
670. #529	C₂×D₁₃	semidirect
675. C₂×#126	C₂×D₁₃	semidirect
676. C₂×#126	C₂×D₁₃	semidirect
680. C₂×#125	C₂×D₁₃	semidirect
685. C₂×#124	C₂×D₁₃	semidirect
701. C₂×#123	C₂×D₁₃	semidirect
709. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
729. C₂×C₄×Q₈	C₂×D₁₃	semidirect
749. C₂×C₄×D₄	C₂×D₁₃	semidirect
750. C₂×C₄×D₄	C₂×D₁₃	semidirect
755. C₂×#117	C₂×D₁₃	semidirect
756. C₂×#117	C₂×D₁₃	semidirect
766. C₂²×C₄²	C₂×D₁₃	semidirect
868. #126	C₂²×D₁₃	semidirect
869. #126	C₂²×D₁₃	semidirect
873. #125	C₂²×D₁₃	semidirect
878. #124	C₂²×D₁₃	semidirect
892. #123	C₂²×D₁₃	semidirect
900. C₂²⋊Q₈	C₂²×D₁₃	semidirect
918. C₄×Q₈	C₂²×D₁₃	semidirect
937. C₄×D₄	C₂²×D₁₃	semidirect
938. C₄×D₄	C₂²×D₁₃	semidirect
943. #117	C₂²×D₁₃	semidirect
944. #117	C₂²×D₁₃	semidirect
1017. C₂×C₄²	C₂²×D₁₃	semidirect
1021. C₂×C₁₃	#3513	semidirect
1196. C₁₃	C₂×#3513	semidirect
1351. C₂	#13128780	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#13128780	2
C₂×#11719290	2
C₂×#11719284	2
C₂×#11719414	2
C₂×#11719270	2
C₂×#11719246	2
C₂×#11719342	2
C₂×#11719410	2
C₂×#11719260	2
C₂×#11719255	2
C₂×#11719315	2
C₂×D₄×D₅₂	2
C₂×#11719239	2
C₂×#11719240	2
C₂×#11719397	2
C₂×#11719383	2
C₂×#11719184	2
C₂×#11719361	2
C₂×D₁₃×#123	2
C₂×#11719228	2
C₂×#11719226	2
C₂²×C₄×D₅₂	2
C₂×C₁₃×#529	2
C₂×#3513	13

Subgroups — C2×#13128780 #16770894

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128780 #16770894